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-9=-8(k-5)+3(1+7k)
We simplify the equation to the form, which is simple to understand
-9=-8(k-5)+3(1+7k)
Reorder the terms in parentheses
-9=+(-8k+40)+3*(1+7k)
Remove unnecessary parentheses
-9=-8k+40+3+*(+1+7k+)
Reorder the terms in parentheses
-9=-8k+40+(+3+21k)
Remove unnecessary parentheses
-9=-8k+40+3+21k
We move all terms containing k to the left and all other terms to the right.
+8k-21k=+40+3+9
We simplify left and right side of the equation.
-13k=+52
We divide both sides of the equation by -13 to get k.
k=-4
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